In mathematics, the support of a function is the set of points where the function is not zero-valued or, in the case of functions defined on a topological space, the closure of that set. This concept is used very widely in mathematical analysis. In the form of functions with support that is bounded, it also plays a major part in various types of mathematical duality theories.
Suppose that f: X→R is a real-valued function whose domain is an arbitrary set X. The set-theoretic support of f, written supp(f), is the set of points in X where f is non-zero
The support of f is the smallest subset of X with the property that f is zero on the subset's complement, meaning that the non-zero values of f "live" on supp(f). If f(x)=0 for all but a finite number of points xinX, then f is said to have finite support.
If the set X has an additional structure (for example, a topology), then the support of f is defined in an analogous way as the smallest subset of X of an appropriate type such that f vanishes in an appropriate sense on its complement. The notion of support also extends in a natural way to functions taking values in more general sets than R and to other objects, such as measures or distributions.
Service provision is often an economic activity where the buyer does not generally, except by exclusive contract, obtain exclusive ownership of the thing purchased. The benefits of such a service, if priced, are held to be self-evident in the buyer's willingness to pay for it. Public services are those, that society (nation state, fiscal union, regional) as a whole pays for, through taxes and other means.
By composing and orchestrating the appropriate level of resources, skill, ingenuity, and experience for effecting specific benefits for service consumers, service providers participate in an economy without the restrictions of carrying inventory (stock) or the need to concern themselves with bulky raw materials. On the other hand, their investment in expertise does require consistent service marketing and upgrading in the face of competition.
Business services are a recognisable subset of Economic services, and share their characteristics. The essential difference is that Business are concerned about the building of Service Systems in order to deliver value to their customers and to act in the roles of Service Provider and Service Consumer.
The generic clear-cut, complete, concise and consistent definition of the service term reads as follows:
A service is a set of one time consumable and perishable benefits
delivered from the accountable service provider, mostly in close coaction with his internal and external service suppliers,
effectuated by distinct functions of technical systems and by distinct activities of individuals, respectively,
commissioned according to the needs of his service consumers by the service customer from the accountable service provider,
rendered individually to an authorized service consumer at his/her dedicated trigger,
and, finally, consumed and utilized by the triggering service consumer for executing his/her upcoming business activity or private activity.
Offshore (1979) is a novel by Penelope Fitzgerald. It won the Booker Prize for that year. It recalls her time spent on boats on the Thames in Battersea. The novel explores the liminality of people who do not belong to the land or the sea, but are somewhere in between. The epigraph, "che mena il vento, e che batte la pioggia, e che s'incontran con si aspre lingue" ("whom the wind drives, or whom the rain beats, or those who clash with such bitter tongues") comes from Canto XI of Dante's Inferno.
1 is the sole-access highway to America's busiest intermodal energy hub, Port Fourchon, which services over 90% of our nation's offshore energy exploration and production ... 1 is also the only roadway to support the LouisianaOffshore Oil Port, which is vital to American and global oil markets.
In April, Lamprell announced an MoU with energy services company NOV, to support the delivery of three 1 gigawatt (GW) offshore floating wind farms for CeruleanWinds, the UK-based floating offshore wind farm and green hydrogen infrastructure developer ...Marine Services (BGMS).
... supply chain development provides equitable benefits and minimizes any potential adverse impacts.Explore aligning planned offshore wind procurements with offshore wind lease auctions.Support the development of a domestic fleet of offshore wind installation and service vessels.
... by supporting a domestic supply chain for the industry, the White House said on Thursday ... The wind initiative will provide funding to create a domestic offshore wind supply chain and support a fleet of specialized vessels to build and service the projects, the White House said.
The wind initiative will provide "funding to develop a comprehensive offshore wind supply chain roadmap" and "support the development of a domestic fleet of offshore wind installation and service vessels," among other initiatives, the White House said.
Darlington-based offshore contractor Modus has chartered a 2012-built multipurpose offshore support vessel, VOSSweet, from Vroon Offshore Services. The vessel has been booked to support a contract for ...
shipyards that builds vessels that support and service offshore wind farms ...JohnsShipBuilding, Logothetis says, is positioned to accelerate the production of Jones Act-compliant vessels, particularly the construction and maintenance of offshore wind supply and support vessels.
... operations of offshore structures, Vallianz said ... The move follows closely on the heels of another strategic project that Vallianz embarked on for the construction of a next generation service operation vessel to support the operations and maintenance of offshore wind farms.
With a particular focus on the construction and maintenance of offshore wind supply and support vessels, the US-based unit of privately-owned Libra, which has over 45 years of maritime heritage through its UK-based diversified owner, Lomar Shipping, intends to further bolster capacity at St.
Cordes also spent three years as head of corporate services at an offshore law firm where she was responsible for a team of 50 across four jurisdictions, supporting more than 13,000 legal entities and providing board support for investor funds ...There are always new ways to support ...
The new joint venture, Safeen Surveys and Subsea Services, will offer a unique portfolio comprising offshore surveys (geophysical and geotechnical), trenching, and dredging support services. ... "NMDCGroup is a recognised expert in the field with over four decades of experience in providing offshore surveys and subsea services.